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Online Geometry: Circles, Theorems and Problems

Circles - Table of Content (Page 22)

Circles

 

 

Sangaku Problem (An Old Japanese Theorem). Inradii, Carnot's theorem.

 

Sangaku Geometry Theorem: Three circles and a tangent line.

 

Arbelos, Inscribed Circle and Concyclic Points Cyclic Quadrilateral.

Proposed Problem 57 

Proposed Problem 57: Angle bisector, circles Cyclic Quadrilateral.

Proposed Problem 56 

Proposed Problem 56: Angle bisector, circles Parallel Lines.

Geometric art or Langley's Problem

Geometric art of Langley's Problem.

Proposed Problem 55 

Proposed Problem 55: Angle bisector, circles Cyclic Quadrilateral.

Geometry problem: angle bisector, circles, midpoint of arc 

Proposed Problem 54: Angle bisector, circles Midpoint of arc.

Geometry problem: angle bisector, circles 

Proposed Problem 53: Angle bisector, circles

Feuerbach Theorem
One of the most striking theorems in triangle geometry.

Feuerbach Point Facts
 

Feuerbach Theorem, Acute Triangle illustration
 

Circle definition and illustration

Circle definition.

Feuerbach Theorem, Obtuse Triangle illustration
 

Hippocrates and Squaring the Circle
 

Lunes of Hippocrates 4
 

Lunes of Hippocrates 3
 

Lunes of Hippocrates 2
 

Lunes of Hippocrates 1
 

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